72577134 has 120 divisors (see below), whose sum is σ = 194660928. Its totient is φ = 20139840.

The previous prime is 72577117. The next prime is 72577157. The reversal of 72577134 is 43177527.

72577134 is a `hidden beast` number, since 72 + 577 + 13 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 325347 + ... + 325569.

Almost surely, 2^72577134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72577134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

72577134 is an abundant number, since it is smaller than the sum of its proper divisors (122083794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72577134 is a wasteful number, since it uses less digits than its factorization.

72577134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 72577134 is about 8519.2214433010. The cubic root of 72577134 is about 417.1253698917.

The spelling of 72577134 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred thirty-four".